Abstract: A control method/system for a hybrid-electric aircraft propulsion system includes a generator, a propulsor, a controller and an electric storage unit. The generator including a gas turbine with blades separated from a casing by a clearance and driving an electric generator. An electric motor drives the propulsor. The controller controls the turbine and supply of electric power between the motor, the storage unit and the generator in response to a thrust demand and cooperates with a clearance controller: receives a command for a change in thrust demand; determines an operational profile that minimizes a function comprising a measure of fuel supplied to the turbine, transferring electric power from/to the storage unit, a difference between measures of current and demanded thrust and clearance over a time period; and operates the motor, turbine and storage unit according to the operational profile over the time period.